带真空的非齐次不可压缩Navier-Stokes方程强解的整体存在性和指数衰减

IF 0.6 Q4 MATHEMATICS, APPLIED Methods and applications of analysis Pub Date : 2018-06-12 DOI:10.4310/maa.2022.v29.n1.a3

Dehua Wang, Z. Ye

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引用次数: 6

摘要

研究了多维整体空间中具有分数阶拉普拉斯耗散的非齐次不可压缩Navier-Stokes方程。对于大初始数据，建立了带真空的全局强解的存在唯一性。得到了与齐次情况不同的强解的指数时间衰减。初始密度可以是真空的，甚至是致密的支撑。

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Global existence and exponential decay of strong solutions for the inhomogeneous incompressible Navier–Stokes equations with vacuum

The inhomogeneous incompressible Navier-Stokes equations with fractional Laplacian dissipations in the multi-dimensional whole space are considered. The existence and uniqueness of global strong solution with vacuum are established for large initial data. The exponential decay-in-time of the strong solution is also obtained, which is different from the homogeneous case. The initial density may have vacuum and even compact support.

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Methods and applications of analysis MATHEMATICS, APPLIED-

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33.30%

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